43 citations · 72 across the 17 of their papers we have counts for
6 papers · 1 filter
Theoretical foundations of studying criticality in the brain
Yang Tian, Zeren Tan, Hedong Hou +6
Criticality is hypothesized as a physical mechanism underlying efficient transitions between cortical states and remarkable information processing capacities in the brain. While co…
Simplex path integral and simplex renormalization group for high-order interactions
Aohua Cheng, Yunhui Xu, Pei Sun +1
Modern theories of phase transitions and scale-invariance are rooted in path integral formulation and renormalization group (RG). Despite the applicability of these approaches on s…
Laplacian dynamics of convergent and divergent swarm behaviors
Yang Tian, Yunhui Xu, Pei Sun
Swarming phenomena are ubiquitous in various physical, biological, and social systems, where simple local interactions between individual units lead to complex global patterns. A c…
Thermodynamics of percolation in interacting systems
Yizhou Xu, Pei Sun, Yang Tian
Interacting systems can be studied as the networks where nodes are system units and edges denote correlated interactions. Although percolation on network is a unified way to model…
Koopman neural operator as a mesh-free solver of non-linear partial differential equations
Wei Xiong, Xiaomeng Huang, Ziyang Zhang +3
The lacking of analytic solutions of diverse partial differential equations (PDEs) gives birth to a series of computational techniques for numerical solutions. Although numerous la…
KoopmanLab: machine learning for solving complex physics equations
Wei Xiong, Muyuan Ma, Xiaomeng Huang +3
Numerous physics theories are rooted in partial differential equations (PDEs). However, the increasingly intricate physics equations, especially those that lack analytic solutions…